This pattern, with a generator between 2\11 (218.182 cents) and 1\5 (240), has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody, and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root.
1\5
240
9\46
234.783
17\87
234.483
Rodan is around here
8\41
234.146
15\77
233.766
Slendric is around here
7\36
233.333
13\67
232.836
6\31
232.258
Cynder/mothra is around here
11\57
231.579
5\26
230.769
9\47
229.787
228.944
4\21
228.571
227.75
11\58
227.586
29\153
227.451
76\401
227.431
47\248
227.419
18\95
227.368
7\37
227.027
3\16
225
Boundary of propriety
(smaller generators are proper)
(smaller generators are proper)